Hello Christine:
YES, a foreigner can purchase Real Estate Property in Honduras and the process is fairly simple.
The only limitation that our laws (our Constitution) states for a foreigner is related to property that is located within a 40 kilometer zone from the shoreline (beachfront property.- This limitation makes it only possible for a foreigner to own up to 3,000 square meters in that area.
I'm an Attorney with offices in La Ceiba, Honduras, and I'll be glad to assist You in any way.
Regards,
JORGE LOPEZ